342963266940 has 768 divisors, whose sum is σ = 1365648076800. Its totient is φ = 69561483264.

The previous prime is 342963266881. The next prime is 342963266963. The reversal of 342963266940 is 49662369243.

342963266940 is a `hidden beast` number, since 3 + 4 + 296 + 3 + 266 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 313781034 + ... + 313782126.

It is an arithmetic number, because the mean of its divisors is an integer number (1778187600).

Almost surely, 2^342963266940 is an apocalyptic number.

342963266940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342963266940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682824038400).

342963266940 is an abundant number, since it is smaller than the sum of its proper divisors (1022684809860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342963266940 is a wasteful number, since it uses less digits than its factorization.

342963266940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 342963266940 in words is "three hundred forty-two billion, nine hundred sixty-three million, two hundred sixty-six thousand, nine hundred forty".